At Company Z's engineering division, an employee is classified either

Question

At Company Z's engineering division, an employee is classified either as a manager or an engineer. The division is made up of 80% engineers and 35% of those engineers are designers. None of the designers are managers.

Which of the following could be the number of managers and designers in the engineering division?

Which of the following could be the number of managers and designers in the engineering division?

cdrectenwald · Answer

So, you know that 20% of employees are managers, but how many are designers? 35% of 80% is (80/20)*7 = 28

Now that you know that 20% of employees are managers and 28% are designers, you need to see which number n could fit such that 20n and 28n are integers that fit the above options.

The first number for which 28 ends in a 0 is 5 which is 140 that'll mean there's 5*20 = 100 managers and 140 designers.

Bismuth83 · Answer

1. The question asks us to  find a possible combination of the number of managers and designers .

2. Let the number of employees in the engineering division be N.

3. 80% of them are engineers and the rest are managers. That means the number of managers is 0.2N.

4. 35% of the 80% are designers, or  0.35 * 0.8 N = 0.28N.

5. We're given no other information, so in order to deduce a possible combination, we should look at the ratio between designers and managers, or  \frac{0.28}{0.2} = \frac{28}{20} = \frac{14}{10} = \frac{7}{5} .

6. The only combination that has this ratio is 140 and 100.

7. Our answer will be:   Managers - 100 and Designers - 140  .

Adit_ · Answer

35% of 80% that is basically 7/25x where x is all the employees involved.
Now we have managers to be 1/5x which is 20%

So we need a common value of x that leads us to a value in the options.
When x=500 we get 140 and 100 respectively which is our answer.

Or

We see that the ratio of their numbers are 7:5 so find a value in that ratio.

At Company Z's engineering division, an employee is classified either

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GMAT Two-part Analysis (TPA) Questions

At Company Z's engineering division, an employee is classified either

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